λ
Harmonic Matrix

8,424,789

3 × 37 × 71 × 1069
Deficient Odd Composite

8,424,789 has digital root 6. The neighboring primes are 8424769 and 8424817; its proper-divisor sum differs from the starting integer by -5,139,498.

Prime Factor Structure

Factorization String 3 × 37 × 71 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,710,080
Proper Divisor Sum 3,285,291
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8424769 ← → #8424817

Radix Representation

Decimal 8424789
Binary 100000001000110101010101 (24 bits)
Octal 0o40106525
Hexadecimal 0x808D55

Divisor Catalog (16)

1 3 37 71 111 213 1,069 2,627 3,207 7,881 39,553 75,899 118,659 227,697 2,808,263 8,424,789

Collatz Trajectory (49 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,424,789 25,274,368 12,637,184 6,318,592 3,159,296 1,579,648 789,824 394,912 197,456 98,728 49,364 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

← Previous Integer #8,424,788 Browse Full Index Next Integer #8,424,790 →